5 A village amateur dramatic society is planning its annual pantomime. Three rooms in the village hall have been booked for one evening per week for 12 weeks. The following activities must take place. Their durations are shown.
| Activity | Duration (weeks) |
| A | choose lead actors | 1 |
| B | choose rest of actors | 1 |
| C | choose dancers | 1 |
| D | rehearse lead actors | 8 |
| E | rehearse rest of actors | 6 |
| F | rehearse dancers | 6 |
| G | prepare scenery | 6 |
| H | install scenery | 1 |
| I | prepare music | 2 |
| J | make costumes | 4 |
| K | dress rehearsals | 2 |
Each activity needs a room except for activities G, I and J.
Choosing actors and dancers can be done in the same week. Rehearsals can begin after this.
Rehearsing the dancers cannot begin until the music has been prepared.
The scenery must be installed after rehearsals, but before dress rehearsals.
Making the costumes cannot start until after the actors and dancers have been chosen.
Everything must be ready for the dress rehearsals in the final two weeks of the 12-week preparation period.
- Complete the table in your answer book by showing the immediate predecessors for each activity.
- Draw an activity on arc network for these activities.
- Mark on your network the early time and the late time for each event. Give the critical activities.
It is discovered that there is a double booking and that one of the rooms will not be available after week 6.
- Using the space provided, produce a schedule showing how the pantomime can be ready in time for its first performance.